Distance traveled in nth second

Q. A body covers $200cm$ in the first $2$ seconds and $220cm$ in the next $4$ seconds. The velocity of the body at the end of the $7^{th}$ second is

1. $10cm/s$
2. $20cm/s$
3. $5cm/s$
4. $30cm/s$

Q. The initial velocity of the particle is $10\text{m/sec}$ and its retardation is $2{\text{m/sec}}^2$. The distance moved by the particle in $5^{\text{th}}$ second of its motion is

1. $1\text{m}$
2. $19\text{m}$
3. $50\text{m}$
4. $75\text{m}$

Q. A body started with a velocity of $20m{s}^{-1}$ and moving with an acceleration of $2m{s}^{-2}$. The distance (in $\text{m})$ travelled by the body in the $8^{th}$ second is

1. $35$
2. $20$
3. $12$
4. $10$

Q. The initial velocity of a particle is $10\text{m/s}$ and its retardation is $2{\text{m/s}}^2$. The distance moved by the particle in $5^{\text{th}}$ second of its motion is:

1. $1\text{m}$
2. $19\text{m}$
3. $50\text{m}$
4. $75\text{m}$

Q. If a body starts from rest and travels $120\text{cm}$ in the $6^{th}$ second, then the acceleration of the body is

1. $0.2m/s^2$
2. $0.027m/s^2$
3. $0.218m/s^2$
4. $0.03m/s^2$

Q. A body A starts from rest with an acceleration $a_1$. After 2 seconds, another body B starts from rest with an acceleration $a_2$. If they travel equal distances in the $5^{th}$ second, after the start of A, then the ratio $a_1:a_2$ is equal to

1. 5 : 9
2. 5 : 7
3. 9 : 5
4. 9 : 7

Q. A body started with velocity of $10{\text{ms}}^{–1}$ and moving with an acceleration of $1{\text{ms}}^{–2}$. The distance covered by the body in $7^{th}$ second is

1. $17.5\text{m}$
2. $16.5\text{m}$
3. $18.5\text{m}$
4. $20\text{m}$

Q.

A body is moving from rest under constant acceleration and let $S_1$ be the displacement in the first $(p-1)$ seconds and $S_2$ be the displacement in the first $p$ seconds. The displacement in $(p^2-p+1{)}^{th}$ second will be

1. $S_1+S_2$

2. $S_1{S}_2$

3. $S_1-S_2$

4. $\frac{S_1}{S_2}$

Q. The initial velocity of the particle is $10\text{m/sec}$ and its retardation is $2{\text{m/sec}}^2$. The distance moved by the particle in $5^{\text{th}}$ second of its motion is

1. $1\text{m}$
2. $19\text{m}$
3. $50\text{m}$
4. $75\text{m}$

Q. The initial velocity of a body moving along a straight line is 7 $\frac{m}{s}$. It has a uniform acceleration of 4 $\frac{m}{s^2}$. The distance covered by the body in the $5^{th}$ second of its motion is

1. $25m$
2. $35m$
3. $50m$
4. $85m$

Q.

The initial velocity of a particle is 10 m/sec and its retardation is 2 m/$se{c}^2$. The distance moved by the particle in $5^{th}$ second of its motion is

1. 1 m

2. 19 m

3. 50 m

4. 75 m

Q. A small block slides down on a smooth inclined plane, starting from rest at time $t=0.$ Let $S_n$ be the distance travelled by the block in the interval, $t=n-1$ to $t=n$, then, the ratio $\frac{S_n}{S_{n+1}}$ is

1. $\frac{2n}{2n-1}$
2. $\frac{2n-1}{2n}$
3. $\frac{2n-1}{2n+1}$
4. $\frac{2n+1}{2n-1}$

Q. A man in a balloon, throws a stone downwards with a speed of $4\text{m/s}$ with respect to balloon. If the balloon is moving upwards with a constant acceleration of $2{\text{m/s}}^2$, then speed of the stone relative to the man after $3\text{seconds}$ is

1. $43\text{m/s}$
2. $10\text{m/s}$
3. $40\text{m/s}$
4. $15\text{m/s}$

Q. A body falls freely from rest. It covers as much distance in the last second of its motion as covered in the first three seconds. The body has fallen for a time of ( in seconds upto two decimals)

Q. The ratio of distances covered by a freely falling body (starting from rest) during the $1^{\text{st}},2^{\text{nd}},3^{\text{rd}}$ second of its motion is: [Take $g=10{\text{m/s}}^2$]

1. $3:6:9$
2. $1:3:5$
3. $2:3:5$
4. $1:3:7$

Q. The body started with velocity of $8\text{m/s}$ and moving with an acceleration of $1{\text{m/s}}^2$. The distance travelled by the body in $6^{\text{th}}$ second is

1. $17.5\text{m}$
2. $13.5\text{m}$
3. $10.0\text{m}$
4. $18.5\text{m}$

Q. A bullet is fired vertically upward with an initial velocity of $50{\text{ms}}^{-1}$. If $g=10{\text{ms}}^{-2}$, what is the ratio of the distances travelled by the bullet during the first and last second of its upward motion ?

1. $9:1$
2. $9:2$
3. $3:1$
4. $9:4$

Q. A particle having initial velocity $10\text{m/s}$ is moving with constant acceleration $4{\text{m/s}}^2$. The particle is moving in a straight line. Find the distance travelled by the particle in $7^{th}$ second of its motion

1. $10\text{m}$
2. $5\text{m}$
3. $28\text{m}$
4. $36\text{m}$

Q. A body $A$ starts from rest with an acceleration $a_1$ . After $2$ seconds, another body $B$ starts from rest with an acceleration $a_2$ . If they travel equal distances in the $5^{\text{th}}\text{second}$ after the start of $A$, then the ratio $a_1:a_2$ is equal to

1. $5:9$
2. $5:7$
3. $9:5$
4. $9:7$

Q. A body started with velocity of $10{\text{ms}}^{–1}$ and moving with an acceleration of $1{\text{ms}}^{–2}$. The distance covered by the body in $7^{th}$ second is

1. $17.5\text{m}$
2. $16.5\text{m}$
3. $18.5\text{m}$
4. $20\text{m}$

Q. The initial velocity of a body moving along a straight line is 7 $\frac{m}{s}$. It has a uniform acceleration of 4 $\frac{m}{s^2}$. The distance covered by the body in the $5^{th}$ second of its motion is

1. $25m$
2. $35m$
3. $50m$
4. $85m$